Peer-Reviewed Journal Details
Mandatory Fields
Detinko, AS,Flannery, DL,O'Brien, EA
2009
December
Journal Of Algebra
Deciding finiteness of matrix groups in positive characteristic
Published
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Optional Fields
Matrix group Function field Finiteness problem Order problem Algorithm FUNCTION-FIELDS
322
4151
4160
We present a new algorithm to decide finiteness of matrix groups defined over a field of positive characteristic. Together with previous work for groups in zero characteristic, this provides the first complete Solution of the finiteness problem for finitely generated matrix groups over a field. We also give an algorithm to compute the order of a finite matrix group over a function field of positive characteristic by constructing an isomorphic copy of the group over a finite field. Our implementations of these algorithms are publicly available in MAGMA. (C) 2009 Elsevier Inc. All rights reserved.
DOI 10.1016/j.jalgebra.2009.08.020
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